Converse-if a line drawn frm one side of a triangle to the other side divides the 2 sides in equal ratio then the line is parallel to the third side.
Answer:
20/3
Step-by-step explanation:
Answer:
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
62% of the voters are Democrats
This means that 
(a) What is the probability that two independently surveyed voters would both be Democrats?
This is P(X = 2) when n = 2. So


0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Part A:
Given the ratio 1 : 2, we can describe this ratio with the following situation.
The number of green balls to orange balls in the bag is in the ratio of 1 : 2. For every green ball in the bag, there are 2 corresponding orange ball.
Part B:
Given the ratio 29 : 30, we can describe this ratio with the following situation.
The ratio of the amount of sugar used to the amount of salt used to prepare the sugar-salt solution is 29 : 30. For every teaspoons of sugar used in the solution, 30 teaspoons of salt needs to be used.
Part C:
Given the ratio 52 : 12, we can describe this ratio with the following situation.
The
number of kilometers travelled by the car and the bicycle is in the ratio of 52 :
12. For every 52 kilometers travelled by the car, the bicycle travelled 12 kilometers.